779497699680 has 1728 divisors, whose sum is σ = 3388065408000. Its totient is φ = 162170781696.

The previous prime is 779497699679. The next prime is 779497699709. The reversal of 779497699680 is 86996794977.

It is a happy number.

779497699680 is a `hidden beast` number, since 7 + 7 + 9 + 497 + 69 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×779497699680² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 779497699680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5607897051 + ... + 5607897189.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686000).

Almost surely, 2^779497699680 is an apocalyptic number.

779497699680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779497699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694032704000).

779497699680 is an abundant number, since it is smaller than the sum of its proper divisors (2608567708320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

779497699680 is a wasteful number, since it uses less digits than its factorization.

779497699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2592487296, while the sum is 81.

The spelling of 779497699680 in words is "seven hundred seventy-nine billion, four hundred ninety-seven million, six hundred ninety-nine thousand, six hundred eighty".